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69291740883072 = 2731916015932057
BaseRepresentation
bin11111100000101001111011…
…00110011110100010000000
3100002100020002120010202120010
433300110331212132202000
533040233441131224242
6403212104124344520
720411106635333301
oct1760247546364200
9302306076122503
1069291740883072
112009550a329764
1279312539a5140
132c8824c441636
141317a496c67a8
1580268580c89c
hex3f053d99e880

69291740883072 has 128 divisors (see below), whose sum is σ = 193864401086400. Its totient is φ = 21867931238400.

The previous prime is 69291740882993. The next prime is 69291740883151. The reversal of 69291740883072 is 27038804719296.

It is an interprime number because it is at equal distance from previous prime (69291740882993) and next prime (69291740883151).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 69291740882994 and 69291740883012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8714868 + ... + 14646924.

Almost surely, 269291740883072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69291740883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96932200543200).

69291740883072 is an abundant number, since it is smaller than the sum of its proper divisors (124572660203328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

69291740883072 is a wasteful number, since it uses less digits than its factorization.

69291740883072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933694 (or 5933682 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 66.

The spelling of 69291740883072 in words is "sixty-nine trillion, two hundred ninety-one billion, seven hundred forty million, eight hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1601 1824 2432 3202 3648 4803 6404 7296 9606 12808 19212 25616 30419 38424 51232 60838 76848 91257 102464 121676 153696 182514 204928 243352 307392 365028 486704 614784 730056 973408 1460112 1946816 2920224 3893632 5840448 5932057 11680896 11864114 17796171 23728228 35592342 47456456 71184684 94912912 112709083 142369368 189825824 225418166 284738736 338127249 379651648 450836332 569477472 676254498 759303296 901672664 1138954944 1352508996 1803345328 2277909888 2705017992 3606690656 5410035984 7213381312 9497223257 10820071968 14426762624 18994446514 21640143936 28491669771 37988893028 43280287872 56983339542 75977786056 113966679084 151955572112 180447241883 227933358168 303911144224 360894483766 455866716336 541341725649 607822288448 721788967532 911733432672 1082683451298 1215644576896 1443577935064 1823466865344 2165366902596 2887155870128 3646933730688 4330733805192 5774311740256 8661467610384 11548623480512 17322935220768 23097246961024 34645870441536 69291740883072